{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from ggplot import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<ggplot: (273166301)>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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RUXj77bfR3NyMmJgYpKamYvPmzdi3bx/a2tpw+fJl7N27FzY2Nnj66adhZWUFJycn7N69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\n7OvzExFRp2vXriEqKgoajQZRUVG4du3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1elVYWKiJEyeqsLCQ0A4AwF1CYAcMYrfb9fbb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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f638210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg, aes(x='cty', y='hwy', shape='trans')) + \\\n",
    "    geom_point() + \\\n",
    "    geom_vline(x=25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
